Find a vector equation with parameter 𝑡 t for the line through the point (9,0,−3) ( 9 , 0 , − 3 ) and parallel to the vector 2𝐢−4𝐣+3𝐤.

Question

find the vector. Answer: r(t)=?

Answer 1

The parametric equations for the line in question are

x =9 + 2t

y = -4t

z = -3 +3t and the vector valued function r(t)

r(t) = < 9 + 2t, -4t, -3+3t >